The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A117869 Partial sums of floor(e^n). 1
 1, 3, 10, 30, 84, 232, 635, 1731, 4711, 12814, 34840, 94714, 257468, 699881, 1902485, 5171502, 14057612, 38212564, 103872533, 282354833, 767520028, 2086335762, 5671248608, 15416052054, 41905174183, 113910073520, 309639682948 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Primes in the sequence include a(1) = 3, a(19) = 282354833, no more through a(100) = 42525387036892760775526906833352845657512183. The next prime in the sequence is a(1009) which has 438 digits. The one after that is a(3498) which has 1519 digits. [From Harvey P. Dale, Jul 18 2011] LINKS FORMULA a(n) = SUM[i=0..n] A000149(i). a(n) = SUM[i=0..n] floor(e^i). MATHEMATICA Accumulate[Floor[E^Range[0, 4000]]] (* Harvey P. Dale, Jul 18 2011 *) CROSSREFS Cf. A000149. Sequence in context: A332360 A115515 A280523 * A092756 A027205 A026937 Adjacent sequences:  A117866 A117867 A117868 * A117870 A117871 A117872 KEYWORD easy,nonn AUTHOR Jonathan Vos Post, May 02 2006 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)